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Mechanics of Generalized Continua
This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.
Mathematical Modelling in Solid Mechanics
This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-rein...
Mechanics of Material Forces
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton. A probable reason for this is that the painstaking de ciphering of this author's paper in the Philosophical Magazine (Vol. 33, pp. 191-204, 1891) seems to reveal a notion that was introduced in math ematical form much later, that of local structural rearrangement. This notion obviously takes place on the material manifold of modern con tinuum mechanics. It is more or less clear that seemingly different phe nomena - phase transition, local destruction of matter in the form of the loss of local ordering (such as in the appearance of structural ...
Computational Bioengineering: Current Trends And Applications
This book is a significant contribution to the state of the art in the field of computational bioengineering — from the need for a living human database to meshless methods in biomechanics, from computational mechanobiology to the evaluation of stresses in hip prosthesis replacement, from lattice Boltzmann methods for analyzing blood flow to the analysis of fluid movement in long bones, among other interesting topics treated herein. Well-known international experts in bioengineering have contributed to the book, giving it a unique style and cutting-edge material for graduate students, academic researchers and design bioengineers, as well as those interested in getting a better understanding of such complex and fascinating human and living processes.
Generalized Models and Non-classical Approaches in Complex Materials 1
This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.
Introduction à la mécanique des milieux continus déformables
Ce livre est une introduction à la mécanique des milieux continus. Dans chaque chapitre, des exercices de différentes difficultés sont donnés avec les corrigés détaillés. Il s'adresse aux étudiants de licence et master.
Eléments de dynamique des solides et structures déformables
Cet ouvrage a pour objectif d'exposer les éléments nécessaires à la modélisation dynamique des structures élastiques minces comme les poutres, les plaques et les coques, et en particulier les outils de base que représentent l'analyse modale et la méthode analytique de décomposition modale. Des rappels des principales notions de thermomécanique, des lois de comportement des solides, ainsi qu'un chapitre sur les ondes et vibrations dans les milieux volumiques viscoélastiques complètent l'exposé. De nombreux exemples d'applications accompagnés de solutions analytiques illustrent chacun des chapitres, et une série d'exercices clés permettent au lecteur de tester la bonne assimilation des connaissances indispensables à la modélisation des vibrations des structures continues.
Analyse phénoménologique des écoulements
Modéliser le fonctionnement d’une unité industrielle ou d’un banc d’essai consiste à établir une description simplifiée de la réalité physique, en n’en retenant que les phénomènes principaux. A cet effet, l’analyse phénoménologique constitue un outil des plus précieux. Elle permet d’identifier, sur la base de règles systématiques, les termes secondaires pouvant être négligés, sans que le résultat ne soit fondamentalement modifié; elle offre ainsi une première approximation de la solution, en ne retenant qu’un nombre minimum de termes dans les équations. Cette technique est tout particulièrement adaptée à l’étude de situations nouvelles; bien maîtrisÃ...
